TY - JOUR
T1 - Mean-field theory of the Potts glass
AU - Gross, D. J.
AU - Kanter, I.
AU - Sompolinsky, H.
PY - 1985
Y1 - 1985
N2 - Randomly interacting p-state Potts spins may freeze into a Potts-glass phase in which the Potts symmetry is unbroken, on the average. The mean-field theory of this phase transition is presented. Unlike the spin-glass case, there exist two distinct Potts-glass phases that differ in the nature of the correlations among the many degenerate ground states of the system. For p>4, the transition from the disordered phase is unusual: The freezing occurs discontinuously but without latent heat. Similar results hold for mean-field quadrupolar-glass models.
AB - Randomly interacting p-state Potts spins may freeze into a Potts-glass phase in which the Potts symmetry is unbroken, on the average. The mean-field theory of this phase transition is presented. Unlike the spin-glass case, there exist two distinct Potts-glass phases that differ in the nature of the correlations among the many degenerate ground states of the system. For p>4, the transition from the disordered phase is unusual: The freezing occurs discontinuously but without latent heat. Similar results hold for mean-field quadrupolar-glass models.
UR - http://www.scopus.com/inward/record.url?scp=0000338160&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.55.304
DO - 10.1103/PhysRevLett.55.304
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AN - SCOPUS:0000338160
SN - 0031-9007
VL - 55
SP - 304
EP - 307
JO - Physical Review Letters
JF - Physical Review Letters
IS - 3
ER -